how to copy one table from one database to another on different servers?

You may use Export/Import Wizard in SQL Server.

Ref: http://msdn.microsoft.com/en-us/library/ms140052.aspx

Just the table design or including the data?

Hi,

You can use linked servers. Add a link server and use the following query:

select * into [target_table] from [source_server].[source_database].[dbo].[source_table]

For more information on linked servers, please refer http://msdn.microsoft.com/en-us/library/ff772782.aspx

-Vatsalya